1993
AUTHORS ABSTRACTA quasi-contraction, acting between Kreĭn spaces, is a linear bounded operator which is contractive when restricted to some subspace of finite codimension. If, in addition, the same property is satisfied by the adjoint of the operator, then it is called a double quasi-contraction. This paper is devoted to the investigation of basic properties of quasi-contractions and double quasi-contractions. Among others, we prove that the compression of a quasi-contraction (double quasi-contraction) to maximal uniformly negative subspaces is a semi-Fredholm operator (respectively, Fredholm operator) and we give a formula to compute its index. A spectral characterization of double quasi-contractions within the class of quasi-contractions is also obtained. More... »
PAGES123-148
Operator Extensions, Interpolation of Functions and Related Topics
ISBN
978-3-0348-9687-0
978-3-0348-8575-1
http://scigraph.springernature.com/pub.10.1007/978-3-0348-8575-1_7
DOIhttp://dx.doi.org/10.1007/978-3-0348-8575-1_7
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